9964 ÷ 9 = 1107 R1
No problem, we've got 9964 and 9 for the division.

Step 1:
9 goes into 9 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 1
Subtract 9 from 9 to get 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 9

Step 2:
9 goes into 9 1 times with a remainder of 0.
Write down 1 as next digit of of the result. 
Result so far: 11
Subtract 9 from 9 to get 0.
Bring next digit (6) of the dividend behind the 0 and repeat the process: 6 / 9

Step 3:
9 goes into 6 0 times with a remainder of 6.
Write down 0 as next digit of of the result. 
Result so far: 110
Subtract 0 from 6 to get 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 9

Step 4:
9 goes into 64 7 times with a remainder of 1.
Write down 7 as next digit of of the result. 
Result so far: 1107
Subtract 63 from 64 to get 1.

The final result is 1107 with a remainder of 1.